An artificial satellite circling the Earth completes each orbit in 122 minutes.
(a) Find the altitude of the satellite. (b) What is the value of g at the location of this satellite?
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An artificial satellite circling the Earth completes each orbit in 122 minutes. (The radius of the Earth is 6.38x 10^6 m. The mass of the Earth is 5.98 x10^24 kg.)
Earth mass (m) = 5.98 x10^24 kg
Earth surface radius (r) = 6.38x 10^6 m
r = orbital radius (m) s = altitude above earth surface (m) ,
R = [T²GMe/4π²]^.333 where T is the period in seconds. R = 8.15E6 m
the altitude of the satellite is,
a) H = R - Re = 1.77E6 m
& value of g at the location of this satellite is gravitational acceleration (g) at orbital radius is,
b) g = GMe/R² = 6.005 m/s²
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